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Finding the Fourth Proportional to 628.99, 942.58 and 551.77

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Solution

The fourth proportional to 628.99, 942.58 and 551.77 is: 826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.99 : 942.58 = 551.77 : x
  2. Step 2: Convert to fraction form
    628.99/942.58 = 551.77/x
  3. Step 3: Cross multiply
    628.99x = 942.58 × 551.77
  4. Step 4: Simplify right side
    628.99x = 520,087.37
  5. Step 5: Solve for x
    x = 520,087.37/628.99
  6. Step 6: Final answer
    x = 826.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.